Tesla CEO and SpaceX founder and chief executive Elon Musk speaks after announcing Japanese billionaire Yusaku Maezawa as the first private passenger on a trip around the moon in Hawthorne, Calif.

Tesla Inc. has turned over documents to the U.S. Justice Department after statements by CEO Elon Musk about taking the company private, the electric car maker confirmed Tuesday.

The Palo Alto, California, company co-operated with the request and believes the matter should be resolved quickly once federal prosecutors review information they have received, according to a company statement.

News of a potential criminal investigation pushed Tesla stock down 5 per cent in morning trading Tuesday, but the decline subsided a bit by early afternoon to 3 per cent, at $286.67.

"We have not received a subpoena, a request for testimony, or any other formal process," Tesla's statement said.

Bloomberg News reported Tuesday morning that the Justice Department is running a criminal probe parallel to an investigation by the Securities and Exchange Commission. The news service cited two people familiar with the matter that it did not identify.

Tesla said it was contacted by prosecutors after CEO Elon Musk tweeted last month that funding was secured to take the company private. The announcement raised the stock price 11 per cent in one day, but it has since fallen.

Later the company admitted that funding wasn't lined up and eventually Musk abandoned the idea.

Short-sellers, who bet against the stock appreciating, complained that Musk's announcement was done to manipulate the stock price and cost them money.